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Related Concept Videos

Fatigue01:21

Fatigue

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Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
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Typical Model Studies01:30

Typical Model Studies

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Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
579
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

744
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
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Shear and Bending Moment Diagram: Problem Solving01:24

Shear and Bending Moment Diagram: Problem Solving

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When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
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Stresses under Combined Loadings01:23

Stresses under Combined Loadings

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When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
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Related Experiment Video

Updated: Mar 13, 2026

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method
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Modeling of nonlinear interactions between guided waves and fatigue cracks using local interaction simulation

Yanfeng Shen1, Carlos E S Cesnik1

  • 1Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, USA.

Ultrasonics
|October 23, 2016
PubMed
Summary

This study introduces a parallel algorithm for modeling ultrasonic wave interactions with fatigue cracks. The developed Local Interaction Simulation Approach (LISA) efficiently captures nonlinear phenomena like clapping and stick-slip motion.

Keywords:
Contact modelDamage detectionFatigue crackLISANonlinear ultrasonicsStructural health monitoringUltrasonic guided waves

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Area of Science:

  • Nonlinear Ultrasonics
  • Computational Mechanics
  • Materials Science

Background:

  • Modeling nonlinear ultrasonic wave interactions with fatigue cracks is crucial for structural health monitoring.
  • Existing methods like FEM face computational challenges with complex crack surface dynamics.

Purpose of the Study:

  • To develop a computationally efficient parallel algorithm for simulating nonlinear ultrasonic guided wave interactions with fatigue cracks.
  • To accurately model crack closure, clapping, and friction effects using an enhanced Local Interaction Simulation Approach (LISA).

Main Methods:

  • Developed a parallel algorithm based on the Local Interaction Simulation Approach (LISA) using Compute Unified Device Architecture (CUDA).
  • Integrated penalty and Coulomb friction models to simulate crack surface contact, including clapping and stick-slip motion.
  • Approximated 3-D crack features using initial opening and closure distributions.

Main Results:

  • Achieved high computational efficiency compared to traditional FEM through GPU-based parallelization.
  • Successfully captured nonlinear phenomena such as higher harmonic generation, DC response, and nonlinear mode conversion.
  • Demonstrated threshold behaviors related to crack surface roughness and initial opening/closure.

Conclusions:

  • The parallel LISA algorithm provides an efficient and accurate tool for modeling nonlinear ultrasonic wave interactions with fatigue cracks.
  • The model effectively captures complex crack contact phenomena, offering insights into nonlinear ultrasonic NDT.
  • This approach facilitates advanced structural health monitoring by detecting and characterizing fatigue cracks.